MỘT SỐ KẾT QUẢ VỀ CẤU TRÚC CỦA KHÔNG GIAN ĐỐI XỨNG SL(n;R)=SO(n)

Authors

Locally symmetric spaces play an important part in differential geometry.

The typical class consists of quotients of symmetric spaces by arithmetic

groups,especially discrete groups.

There are many examples for this class of locally symmetric spaces such as the moduli

space of elliptic curves is the quotient of the upper half plane H2 by SL(2;Z), the

quotient of the upper half space H3 by SL(2;Z + iZ).

In this note, firstly, we study the differential and symmetric structure of the space

SL(n;R)=SO(n): Then we study the locally symmetric structure based on the action

of SL(n;Z) on SL(n;R)=SO(n).

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